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21302441100 = 2234522629931
BaseRepresentation
bin10011110101101110…
…010111010010001100
32000222121022010120000
4103311232113102030
5322111411103400
613441453124300
71352615522163
oct236556272214
960877263500
1021302441100
119041744326
124166189690
132016488a45
1410612803da
1584a28e600
hex4f5b9748c

21302441100 has 90 divisors (see below), whose sum is σ = 69054124524. Its totient is φ = 5680648800.

The previous prime is 21302441063. The next prime is 21302441117. The reversal of 21302441100 is 114420312.

21302441100 is a `hidden beast` number, since 213 + 0 + 2 + 441 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1306866 + ... + 1323065.

Almost surely, 221302441100 is an apocalyptic number.

21302441100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302441100 is an abundant number, since it is smaller than the sum of its proper divisors (47751683424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21302441100 is a wasteful number, since it uses less digits than its factorization.

21302441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629957 (or 2629941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21302441100 its reverse (114420312), we get a palindrome (21416861412).

The spelling of 21302441100 in words is "twenty-one billion, three hundred two million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 2629931 5259862 7889793 10519724 13149655 15779586 23669379 26299310 31559172 39448965 47338758 52598620 65748275 71008137 78897930 94677516 118346895 131496550 142016274 157795860 197244825 213024411 236693790 262993100 284032548 355040685 394489650 426048822 473387580 591734475 710081370 788979300 852097644 1065122055 1183468950 1420162740 1775203425 2130244110 2366937900 3550406850 4260488220 5325610275 7100813700 10651220550 21302441100